Examl – Section 1: (a) Use appropriate Lagrange interpolating polynomials of degrees one (n=1), to approximate f (0.45) if f(0) = 0. f(0.6) = 0.47 (b) The data for (a) were generated using the...

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Extracted text: Examl – Section 1: (a) Use appropriate Lagrange interpolating polynomials of degrees one (n=1), to approximate f (0.45) if f(0) = 0. f(0.6) = 0.47 (b) The data for (a) were generated using the function f (x) = In(1 + x). Use the error formula for Lagrange interpolating polynomial to find a bound for the error and compare the bound to the actual error for the case n-1x = 0.45